In: Math
When using Gaussian elimination to solve a system of linear equations, how can you recognize that the system has no solution?
Summary:
In these type of situations we try to find the reduced echelon format of the augmented matrix and check, if it has any row which has all the entries except last entry as zero and last entry is a numerical constant. In such cases we can easily say that the system of linear equations has no solution or the system of linear equations is inconsistent.